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On the Optimal Control Problem of a Nonlinear Elliptic Population System 被引量：1

On the Optimal Control Problem of a Nonlinear Elliptic Population System
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摘要 The optimal control problem for a nonlinear elliptic population system is considered.First, under certain hypotheses, the existence and uniqueness of coexistence state solutions are shown. Then the existence of the optimal control is given and the optimality system is established. The optimal control problem for a nonlinear elliptic population system is considered. First, under certain hypotheses, the existence and uniqueness of coexistence state solutions are shown. Then the existence of the optimal control is given and the optimality system is established.
作者 贾超华 冯德兴
机构地区 Institute of Systems Science Institute of Systems Science
出处 《自动化学报》 EI CSCD 北大核心 2005年第2期175-181,共7页 Acta Automatica Sinica
基金 Supported by National Natural Science Foundation of P. R. China (60334040, 60225003)
关键词 非线性 椭圆型 种群模型 最优控制问题 Mathematical techniques Nonlinear systems Partial differential equations
分类号 TP273.1 [自动化与计算机技术—检测技术与自动化装置]
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参考文献10

  • 1Arino O, Montero J A. Optimal control of a nonliner elliptic population system. In: Proceedings of the Edinburgh Mathematical Society, 2000, 43(2): 225～241.
  • 2Canada A, Magal P, Montero J A. Optimal control of harvesting in a nonlinear elliptic system arising from population dynamics. Journal of Mathematical Analysis and Applications, 2001, 254(2): 571～586.
  • 3Leung A, Stojanovic S. Optimal control for elliptic Volterra-Lotka equations. Journal of Mathematical Analysis and Applications, 1993, 173(2): 603～619.
  • 4Cafnada A, Gámez J L, Montero J A. Study of an optimal control problem for diffusive nonlinear elliptic equations of logistic type. SIAM Journal on Control and Optimization, 1998, 36(4): 1171～1189.
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自动化学报
2005年 第2期

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